Issue 30

G. Pitarresi et alii, Frattura ed Integrità Strutturale, 30 (2014) 127-137; DOI: 10.3221/IGF-ESIS.30.17

Cd  

1 

(4)

2

where C is the Photoelastic constant of the material, d the thickness of the model and  the wavelength of the light source. The monochromatic light source used for this work is a sodium vapor lamp with a  =589 nm wavelength.

Figure 1 : Tardy Phase-Shifting Method: polariscope set-up.

The constant C depends on the photoelastic material analyzed in the experiment, and on the wavelength of the light source. The C constant of the material considered in this work is not known and has to be determined by a direct calibration. Using a four point bending calibration method on a rectangular beam cut form the same casted resin plate of ) is then provided for the points of the vertical symmetry axis laying between the crack tip and the opposite straight edge, aligned with the crack orientation. To perform such evaluation, the TPSM requires the acquisition of three different images to determine  . These images are acquired by setting the orientation of the analyzer as  A1 =0°,  A2 =45°,  A3 =90°. Considering that the orientation of the principal stresses in the considered section is aligned whit the edge of the model (  =0° or  =90°), the emerging intensities I i ( i =1,2,3) are:   0 1 1 cos 2 2 f I I I     (5)   0 2 1 sin 2 2 f I I I     (6)   0 3 1 cos 2 2 f I I I     (7) the SENB samples, the measured value is C =6.53×10 -5 mm 2 /N. A quantitative evaluation of the isochromatic parameter (  1 -  2

where the upper and lower sign in eq. 6 is respectively for  =0° and  =90°. The retardation  is determined by combining Eq. (5)-(7) in the next Eq. (8):

I I   

I I

I

2

1

1 3

2

arctan

(8)

2

3 1

where the same sign convention of eq. 6 is valid.

R ESULTS AND DISCUSSION

he following two subparagraphs present the results of the physical characterization and Photoelastic qualitative and quantitative stress analysis. The third subparagraph presents the results of the fracture toughness tests, correlating them to the whole set of characterization data. T

131

Made with FlippingBook - professional solution for displaying marketing and sales documents online